All categories

4 years ago

(-2,1); perpendicular to y= - 2/5x -4 Help explain step by step?

Mathematics

1 answer:

Fittoniya [83]4 years ago

8 0

Answer:

y = (5/2)x + 6

Step-by-step explanation:

The given line has a slope (coefficient of x) of -2/5. The perpendicular line will have a slope that is the negative reciprocal of this:

-1/(-2/5) = 5/2

Since you are given a point you want the line to go through, the point-slope form of the equation of the line is useful. That form for slope m and point (h, k) is ...

y = m(x -h) +k

For your slope m=5/2 and point (h, k) = (-2, 1), the equation of the line is ...

y = 5/2(x +2) +1

y = 5/2x +6 . . . . . eliminate parentheses

You might be interested in

Need Help

grigory [225]

<h3>Answer: Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0

3 years ago

Which is the base and which is the height?

Andrei [34K]

check the picture below.

notice, if we put the 90° angle at the bottom, one leg from it will be horizontally straight and the other will be vertically straight.

4 0

3 years ago

Read 2 more answers

Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2<br>

klio [65]

Answer:

Step-by-step explanation:

Hope this helps u !!

5 0

3 years ago

Simplify 11(2x + 3).

alex41 [277]

Distribute. 11 x 2x is 22x. 11 x 3 is 33. So the answer is 22x +33.

7 0

3 years ago

Read 2 more answers

ritas total bill at a restaurant was 25.00 including tax. if she left a tip of 20% of the total bill, what was the amount of the

Nadusha1986 [10]

Answer:

She left a $2 tip

Step-by-step explanation:

0.2*25 = 5

8 0

2 years ago